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The unification of Mathematics via Topos Theory

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arxiv 1006.3930 v1 pith:YPMEPTOC submitted 2010-06-20 math.CT math.AGmath.LO

Olivia Caramello This is my paper · ORCID
classification math.CTmath.AGmath.LO
keywords mathematicsprinciplestheoryunifyingablebridgesdistinctfoundations
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We present a set of principles and methodologies which may serve as foundations of a unifying theory of Mathematics. These principles are based on a new view of Grothendieck toposes as unifying spaces being able to act as `bridges' for transferring information, ideas and results between distinct mathematical theories.

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Cited by 1 Pith paper

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  1. A Graphical Interface for Category Theory Proofs in Coq

    cs.LO 2025-05 conditional novelty 6.0 of 10

    This paper presents an interactive Coq plugin, CommutativeDiagrams, that visualizes categorical proofs as commutative diagrams and lets users progress proofs through graph matching and pushout-based lemma application.

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